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Finding the Fourth Proportional to 360.30, 543.47 and 355.26

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Solution

The fourth proportional to 360.30, 543.47 and 355.26 is: 535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.30 : 543.47 = 355.26 : x
  2. Step 2: Convert to fraction form
    360.30/543.47 = 355.26/x
  3. Step 3: Cross multiply
    360.30x = 543.47 × 355.26
  4. Step 4: Simplify right side
    360.30x = 193,071.38
  5. Step 5: Solve for x
    x = 193,071.38/360.30
  6. Step 6: Final answer
    x = 535.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.